Meson Bootstraps for Unnatural-Parity States

Abstract
In this paper we study the possibility of bootstrapping the unnatural-parity meson states, using finite-energy sum rules. Previous work on this bootstrap scheme was confined to natural-parity states. We find a large number of sum rules involving particles which are not firmly established, with results that are in good agreement with experiment (10%). The equations, though not mathematically consistent, are such that the two sides (Regge and resonances) are equal when t is varied over a large region, and we find several mass formulas, including mH2=2mρ232mπ2, mB=mA2mπ, 2mB2=0.5 BeV2+2mδ2+mω2+mπ2, and relations between coupling constants.